Lax matrices for Yang-Baxter maps
Quantum Algebra
2015-06-26 v1
Abstract
It is shown that for a certain class of Yang-Baxter maps (or set-theoretical solutions to the quantum Yang-Baxter equation) the Lax representation can be derived straight from the map itself. A similar phenomenon for 3D consistent equations on quad-graphs has been recently discovered by A. Bobenko and one of the authors, and by F. Nijhoff.
Cite
@article{arxiv.math/0304122,
title = {Lax matrices for Yang-Baxter maps},
author = {Yuri Suris and Alexander Veselov},
journal= {arXiv preprint arXiv:math/0304122},
year = {2015}
}